251020213501300 has 72 divisors (see below), whose sum is σ = 547990901719520. Its totient is φ = 99805232419200.

The previous prime is 251020213501271. The next prime is 251020213501363. The reversal of 251020213501300 is 3105312020152.

It is a super-2 number, since 2×251020213501300² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9047446 + ... + 24163954.

Almost surely, 2^{251020213501300} is an apocalyptic number.

251020213501300 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 251020213501300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273995450859760).

251020213501300 is an abundant number, since it is smaller than the sum of its proper divisors (296970688218220).

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

251020213501300 is a wasteful number, since it uses less digits than its factorization.

251020213501300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15117521 (or 15117514 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 251020213501300 its reverse (3105312020152), we get a palindrome (254125525521452).

The spelling of 251020213501300 in words is "two hundred fifty-one trillion, twenty billion, two hundred thirteen million, five hundred one thousand, three hundred".