15261275615201 has 16 divisors (see below), whose sum is σ = 20028468341760. Its totient is φ = 11266013440080.

The previous prime is 15261275615147. The next prime is 15261275615249. The reversal of 15261275615201 is 10251657216251.

It is a de Polignac number, because none of the positive numbers 2^k-15261275615201 is a prime.

It is a super-2 number, since 2×15261275615201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15261275615801) 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, 5215745501 + ... + 5215748426.

It is an arithmetic number, because the mean of its divisors is an integer number (1251779271360).

Almost surely, 2^{15261275615201} is an apocalyptic number.

15261275615201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

15261275615201 is a deficient number, since it is larger than the sum of its proper divisors (4767192726559).

15261275615201 is a wasteful number, since it uses less digits than its factorization.

15261275615201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10431493964.

The product of its (nonzero) digits is 252000, while the sum is 44.

The spelling of 15261275615201 in words is "fifteen trillion, two hundred sixty-one billion, two hundred seventy-five million, six hundred fifteen thousand, two hundred one".