51125415000 has 160 divisors (see below), whose sum is σ = 174235976640. Its totient is φ = 12394000000.

The previous prime is 51125414993. The next prime is 51125415007. The reversal of 51125415000 is 51452115.

It is an interprime number because it is at equal distance from previous prime (51125414993) and next prime (51125415007).

It is a super-2 number, since 2×51125415000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51125415007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10075 + ... + 319925.

It is an arithmetic number, because the mean of its divisors is an integer number (1088974854).

Almost surely, 2^51125415000 is an apocalyptic number.

51125415000 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 51125415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87117988320).

51125415000 is an abundant number, since it is smaller than the sum of its proper divisors (123110561640).

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

51125415000 is a wasteful number, since it uses less digits than its factorization.

51125415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309891 (or 309872 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

Adding to 51125415000 its reverse (51452115), we get a palindrome (51176867115).

The spelling of 51125415000 in words is "fifty-one billion, one hundred twenty-five million, four hundred fifteen thousand".