261400106151 has 8 divisors (see below), whose sum is σ = 387259416560. Its totient is φ = 174266737416.

The previous prime is 261400106147. The next prime is 261400106173. The reversal of 261400106151 is 151601004162.

261400106151 is a `hidden beast` number, since 2 + 6 + 1 + 40 + 0 + 1 + 0 + 615 + 1 = 666.

It is not a de Polignac number, because 261400106151 - 2² = 261400106147 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 9681485413 = 261400106151 / (2 + 6 + 1 + 4 + 0 + 0 + 1 + 0 + 6 + 1 + 5 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261400106551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4840742680 + ... + 4840742733.

It is an arithmetic number, because the mean of its divisors is an integer number (48407427070).

Almost surely, 2^261400106151 is an apocalyptic number.

261400106151 is a deficient number, since it is larger than the sum of its proper divisors (125859310409).

261400106151 is an equidigital number, since it uses as much as digits as its factorization.

261400106151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9681485422 (or 9681485416 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 261400106151 in words is "two hundred sixty-one billion, four hundred million, one hundred six thousand, one hundred fifty-one".