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252588131 = 1735712557
BaseRepresentation
bin11110000111000…
…11000001100011
3122121021210202222
433003203001203
51004130310011
641021501255
76154651355
oct1703430143
9577253688
10252588131
1111a641224
127071182b
134043a743
14257910d5
1517295ddb
hexf0e3063

252588131 has 8 divisors (see below), whose sum is σ = 254592624. Its totient is φ = 250590240.

The previous prime is 252588107. The next prime is 252588137. The reversal of 252588131 is 131885252.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252588131 - 226 = 185479267 is a prime.

It is a super-2 number, since 2×2525881312 = 127601527844146322, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 252588091 and 252588100.

It is not an unprimeable number, because it can be changed into a prime (252588137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97505 + ... + 100061.

It is an arithmetic number, because the mean of its divisors is an integer number (31824078).

Almost surely, 2252588131 is an apocalyptic number.

252588131 is a deficient number, since it is larger than the sum of its proper divisors (2004493).

252588131 is a wasteful number, since it uses less digits than its factorization.

252588131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301.

The product of its digits is 19200, while the sum is 35.

The square root of 252588131 is about 15893.0214559724. The cubic root of 252588131 is about 632.1269598528.

The spelling of 252588131 in words is "two hundred fifty-two million, five hundred eighty-eight thousand, one hundred thirty-one".

Divisors: 1 173 571 2557 98783 442361 1460047 252588131