251130135100 has 288 divisors, whose sum is σ = 623215222784. Its totient is φ = 87178291200.

The previous prime is 251130135083. The next prime is 251130135119. The reversal of 251130135100 is 1531031152.

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, 542397469 + ... + 542397931.

Almost surely, 2^251130135100 is an apocalyptic number.

251130135100 is a gapful number since it is divisible by the number (20) 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 251130135100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311607611392).

251130135100 is an abundant number, since it is smaller than the sum of its proper divisors (372085087684).

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

251130135100 is a wasteful number, since it uses less digits than its factorization.

251130135100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

Adding to 251130135100 its reverse (1531031152), we get a palindrome (252661166252).

The spelling of 251130135100 in words is "two hundred fifty-one billion, one hundred thirty million, one hundred thirty-five thousand, one hundred".