51131225460 has 288 divisors, whose sum is σ = 170699542272. Its totient is φ = 11195688960.

The previous prime is 51131225449. The next prime is 51131225479. The reversal of 51131225460 is 6452213115.

It is a super-2 number, since 2×51131225460² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59942394 + ... + 59943246.

It is an arithmetic number, because the mean of its divisors is an integer number (592706744).

Almost surely, 2^51131225460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51131225460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85349771136).

51131225460 is an abundant number, since it is smaller than the sum of its proper divisors (119568316812).

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

51131225460 is a wasteful number, since it uses less digits than its factorization.

51131225460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 51131225460 its reverse (6452213115), we get a palindrome (57583438575).

The spelling of 51131225460 in words is "fifty-one billion, one hundred thirty-one million, two hundred twenty-five thousand, four hundred sixty".