51257700 has 162 divisors, whose sum is σ = 174490134. Its totient is φ = 12579840.

The previous prime is 51257693. The next prime is 51257707. The reversal of 51257700 is 775215.

51257700 = T₁ + T₂ + ... + T₆₇₄.

51257700 is a nontrivial binomial coefficient, being equal to C(676, 3).

It is an interprime number because it is at equal distance from previous prime (51257693) and next prime (51257707).

It can be written as a sum of positive squares in 9 ways, for example, as 38340864 + 12916836 = 6192^2 + 3594^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51257707) by changing a digit.

It is the 674-th tetrahedral number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 151932 + ... + 152268.

Almost surely, 2^51257700 is an apocalyptic number.

51257700 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 51257700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87245067).

51257700 is an abundant number, since it is smaller than the sum of its proper divisors (123232434).

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

51257700 is a wasteful number, since it uses less digits than its factorization.

51257700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 51257700 is about 7159.4483027675. The cubic root of 51257700 is about 371.4665437369.

The spelling of 51257700 in words is "fifty-one million, two hundred fifty-seven thousand, seven hundred".