256537050 has 288 divisors, whose sum is σ = 854945280. Its totient is φ = 50198400.

The previous prime is 256537027. The next prime is 256537051. The reversal of 256537050 is 50735652.

It is a super-2 number, since 2×256537050² = 131622516045405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256537051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1536067 + ... + 1536233.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^256537050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256537050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

256537050 is an abundant number, since it is smaller than the sum of its proper divisors (598408230).

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

256537050 is a wasteful number, since it uses less digits than its factorization.

256537050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 256537050 is about 16016.7740197582. The cubic root of 256537050 is about 635.4041282246.

The spelling of 256537050 in words is "two hundred fifty-six million, five hundred thirty-seven thousand, fifty".