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524120021425 = 527112131903987
BaseRepresentation
bin1111010000001111111…
…11001101100110110001
31212002211211021202101101
413220013333031212301
532041344211141200
61040435531004401
752603116450460
oct7500777154661
91762754252341
10524120021425
111923070a7600
12856b2899701
133a56927a9c0
141b5207829d7
15d97843126a
hex7a07fcd9b1

524120021425 has 72 divisors (see below), whose sum is σ = 879215962688. Its totient is φ = 301591382400.

The previous prime is 524120021389. The next prime is 524120021441.

It is a happy number.

524120021425 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 524120021425 - 211 = 524120019377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 524120021393 and 524120021402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 676719 + ... + 1227268.

Almost surely, 2524120021425 is an apocalyptic number.

524120021425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

524120021425 is a deficient number, since it is larger than the sum of its proper divisors (355095941263).

524120021425 is a wasteful number, since it uses less digits than its factorization.

524120021425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904039 (or 1904023 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

It can be divided in two parts, 5241200 and 21425, that added together give a palindrome (5262625).

The spelling of 524120021425 in words is "five hundred twenty-four billion, one hundred twenty million, twenty-one thousand, four hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 91 121 143 175 275 325 385 455 605 715 847 1001 1573 1925 2275 3025 3575 4235 5005 7865 11011 21175 25025 39325 55055 275275 1903987 9519935 13327909 20943857 24751831 47599675 66639545 104719285 123759155 146606999 173262817 230382427 272270141 333197725 523596425 618795775 733034995 866314085 1151912135 1361350705 1612676989 1905890987 2994971551 3665174975 4331570425 5759560675 6806753525 8063384945 9529454935 14974857755 20964800857 40316924725 47647274675 74874288775 104824004285 524120021425