456541525 has 24 divisors (see below), whose sum is σ = 618647904. Its totient is φ = 331454400.

The previous prime is 456541453. The next prime is 456541529. The reversal of 456541525 is 525145654.

It is not a de Polignac number, because 456541525 - 2¹¹ = 456539477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456541529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218134 + ... + 220216.

It is an arithmetic number, because the mean of its divisors is an integer number (25776996).

Almost surely, 2^456541525 is an apocalyptic number.

It is an amenable number.

456541525 is a deficient number, since it is larger than the sum of its proper divisors (162106379).

456541525 is a wasteful number, since it uses less digits than its factorization.

456541525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2896 counting only the distinct ones).

The product of its digits is 120000, while the sum is 37.

The square root of 456541525 is about 21366.8323576519. The cubic root of 456541525 is about 770.0047927964.

The spelling of 456541525 in words is "four hundred fifty-six million, five hundred forty-one thousand, five hundred twenty-five".