15251883192001 has 2 divisors, whose sum is σ = 15251883192002. Its totient is φ = 15251883192000.

The previous prime is 15251883191927. The next prime is 15251883192019. The reversal of 15251883192001 is 10029138815251.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8230019177601 + 7021864014400 = 2868801^2 + 2649880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-15251883192001 is a prime.

It is a super-2 number, since 2×15251883192001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (15251883192041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7625941596000 + 7625941596001.

It is an arithmetic number, because the mean of its divisors is an integer number (7625941596001).

Almost surely, 2^{15251883192001} is an apocalyptic number.

It is an amenable number.

15251883192001 is a deficient number, since it is larger than the sum of its proper divisors (1).

15251883192001 is an equidigital number, since it uses as much as digits as its factorization.

15251883192001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 172800, while the sum is 46.

The spelling of 15251883192001 in words is "fifteen trillion, two hundred fifty-one billion, eight hundred eighty-three million, one hundred ninety-two thousand, one".