1505132705675 has 72 divisors (see below), whose sum is σ = 2067790510080. Its totient is φ = 1085211691200.

The previous prime is 1505132705663. The next prime is 1505132705719. The reversal of 1505132705675 is 5765072315051.

It is not a de Polignac number, because 1505132705675 - 2¹⁶ = 1505132640139 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16461134 + ... + 16552316.

It is an arithmetic number, because the mean of its divisors is an integer number (28719312640).

Almost surely, 2^{1505132705675} is an apocalyptic number.

1505132705675 is a deficient number, since it is larger than the sum of its proper divisors (562657804405).

1505132705675 is a wasteful number, since it uses less digits than its factorization.

1505132705675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91321 (or 91297 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 47.

The spelling of 1505132705675 in words is "one trillion, five hundred five billion, one hundred thirty-two million, seven hundred five thousand, six hundred seventy-five".