10002980251 has 16 divisors (see below), whose sum is σ = 11625164928. Its totient is φ = 8506166400.

The previous prime is 10002980233. The next prime is 10002980269. The reversal of 10002980251 is 15208920001.

It is an interprime number because it is at equal distance from previous prime (10002980233) and next prime (10002980269).

It is a cyclic number.

It is not a de Polignac number, because 10002980251 - 2⁵ = 10002980219 is a prime.

It is a super-3 number, since 3×10002980251³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002980201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133605 + ... + 194566.

It is an arithmetic number, because the mean of its divisors is an integer number (726572808).

Almost surely, 2^10002980251 is an apocalyptic number.

10002980251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10002980251 is a deficient number, since it is larger than the sum of its proper divisors (1622184677).

10002980251 is a wasteful number, since it uses less digits than its factorization.

10002980251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328362.

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 10002980251 in words is "ten billion, two million, nine hundred eighty thousand, two hundred fifty-one".