725101527 has 16 divisors (see below), whose sum is σ = 1025233632. Its totient is φ = 454272000.

The previous prime is 725101499. The next prime is 725101567.

725101527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 725101527 - 2⁸ = 725101271 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 725101494 and 725101503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725101567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24027 + ... + 45027.

It is an arithmetic number, because the mean of its divisors is an integer number (64077102).

Almost surely, 2^725101527 is an apocalyptic number.

725101527 is a deficient number, since it is larger than the sum of its proper divisors (300132105).

725101527 is a wasteful number, since it uses less digits than its factorization.

725101527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21698.

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 725101527 is about 26927.7092787337. The cubic root of 725101527 is about 898.3928218077.

The spelling of 725101527 in words is "seven hundred twenty-five million, one hundred one thousand, five hundred twenty-seven".