57258125652 has 192 divisors, whose sum is σ = 171908997120. Its totient is φ = 14417035776.

The previous prime is 57258125647. The next prime is 57258125657. The reversal of 57258125652 is 25652185275.

It is a happy number.

57258125652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57258125647) and next prime (57258125657).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57258125657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15394249 + ... + 15397967.

It is an arithmetic number, because the mean of its divisors is an integer number (895359360).

Almost surely, 2^57258125652 is an apocalyptic number.

57258125652 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57258125652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85954498560).

57258125652 is an abundant number, since it is smaller than the sum of its proper divisors (114650871468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57258125652 is a wasteful number, since it uses less digits than its factorization.

57258125652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4380 counting only the distinct ones).

The product of its digits is 1680000, while the sum is 48.

The spelling of 57258125652 in words is "fifty-seven billion, two hundred fifty-eight million, one hundred twenty-five thousand, six hundred fifty-two".