57015000 has 240 divisors, whose sum is σ = 221741520. Its totient is φ = 12960000.

The previous prime is 57014977. The next prime is 57015001. The reversal of 57015000 is 51075.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57015001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 314910 + ... + 315090.

It is an arithmetic number, because the mean of its divisors is an integer number (923923).

Almost surely, 2^57015000 is an apocalyptic number.

57015000 is a gapful number since it is divisible by the number (50) 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 57015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110870760).

57015000 is an abundant number, since it is smaller than the sum of its proper divisors (164726520).

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

57015000 is a wasteful number, since it uses less digits than its factorization.

57015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 57015000 is about 7550.8277691919. The cubic root of 57015000 is about 384.8838689487.

Adding to 57015000 its reverse (51075), we get a palindrome (57066075).

It can be divided in two parts, 5701 and 5000, that added together give a palindrome (10701).

The spelling of 57015000 in words is "fifty-seven million, fifteen thousand".