10251052020 has 288 divisors, whose sum is σ = 36892267776. Its totient is φ = 2275430400.

The previous prime is 10251052001. The next prime is 10251052039. The reversal of 10251052020 is 2025015201.

10251052020 is a `hidden beast` number, since 102 + 510 + 52 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10251052001) and next prime (10251052039).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10251051984 and 10251052002.

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, 1241305 + ... + 1249535.

It is an arithmetic number, because the mean of its divisors is an integer number (128098152).

Almost surely, 2^10251052020 is an apocalyptic number.

10251052020 is a gapful number since it is divisible by the number (10) 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 10251052020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446133888).

10251052020 is an abundant number, since it is smaller than the sum of its proper divisors (26641215756).

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

10251052020 is a wasteful number, since it uses less digits than its factorization.

10251052020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311 (or 8306 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 10251052020 its reverse (2025015201), we get a palindrome (12276067221).

The spelling of 10251052020 in words is "ten billion, two hundred fifty-one million, fifty-two thousand, twenty".