51537000 has 128 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 13376000.

The previous prime is 51536999. The next prime is 51537001. The reversal of 51537000 is 73515.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51536999) and next prime (51537001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51537001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122791 + ... + 123209.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 2^51537000 is an apocalyptic number.

51537000 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 51537000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

51537000 is an abundant number, since it is smaller than the sum of its proper divisors (113573400).

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

51537000 is a wasteful number, since it uses less digits than its factorization.

51537000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 51537000 is about 7178.9274964997. The cubic root of 51537000 is about 372.1400212862.

The spelling of 51537000 in words is "fifty-one million, five hundred thirty-seven thousand".