10251561205020 has 96 divisors (see below), whose sum is σ = 30397085345088. Its totient is φ = 2572583473152.

The previous prime is 10251561205007. The next prime is 10251561205027. The reversal of 10251561205020 is 2050216515201.

10251561205020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10251561205020² (a number of 27 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 not an unprimeable number, because it can be changed into a prime (10251561205027) 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, 6687354 + ... + 8076126.

It is an arithmetic number, because the mean of its divisors is an integer number (316636305678).

Almost surely, 2^{10251561205020} is an apocalyptic number.

10251561205020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10251561205020 is an abundant number, since it is smaller than the sum of its proper divisors (20145524140068).

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

10251561205020 is a wasteful number, since it uses less digits than its factorization.

10251561205020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396039 (or 1396037 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 10251561205020 in words is "ten trillion, two hundred fifty-one billion, five hundred sixty-one million, two hundred five thousand, twenty".