825457621564 has 48 divisors (see below), whose sum is σ = 1518704510400. Its totient is φ = 392030105600.

The previous prime is 825457621529. The next prime is 825457621579. The reversal of 825457621564 is 465126754528.

It is a happy number.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3688092 + ... + 3905500.

It is an arithmetic number, because the mean of its divisors is an integer number (31639677300).

Almost surely, 2^825457621564 is an apocalyptic number.

It is an amenable number.

825457621564 is a deficient number, since it is larger than the sum of its proper divisors (693246888836).

825457621564 is a wasteful number, since it uses less digits than its factorization.

825457621564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217974 (or 217972 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 55.

The spelling of 825457621564 in words is "eight hundred twenty-five billion, four hundred fifty-seven million, six hundred twenty-one thousand, five hundred sixty-four".