1151261504415 has 48 divisors (see below), whose sum is σ = 2235766849056. Its totient is φ = 543101241600.

The previous prime is 1151261504411. The next prime is 1151261504417. The reversal of 1151261504415 is 5144051621511.

1151261504415 is a `hidden beast` number, since 1 + 1 + 51 + 2 + 61 + 504 + 41 + 5 = 666.

It is not a de Polignac number, because 1151261504415 - 2² = 1151261504411 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1151261504415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151261504411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31411156 + ... + 31447785.

It is an arithmetic number, because the mean of its divisors is an integer number (46578476022).

Almost surely, 2^{1151261504415} is an apocalyptic number.

1151261504415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1151261504415 is a deficient number, since it is larger than the sum of its proper divisors (1084505344641).

1151261504415 is a wasteful number, since it uses less digits than its factorization.

1151261504415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62859000 (or 62858997 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 1151261504415 in words is "one trillion, one hundred fifty-one billion, two hundred sixty-one million, five hundred four thousand, four hundred fifteen".