1607150001961 has 16 divisors (see below), whose sum is σ = 1840087670400. Its totient is φ = 1375049093760.

The previous prime is 1607150001911. The next prime is 1607150001973. The reversal of 1607150001961 is 1691000517061.

It is a cyclic number.

It is not a de Polignac number, because 1607150001961 - 2⁷ = 1607150001833 is a prime.

It is a super-2 number, since 2×1607150001961² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1607150001961.

It is not an unprimeable number, because it can be changed into a prime (1607150001901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46500715 + ... + 46535263.

It is an arithmetic number, because the mean of its divisors is an integer number (115005479400).

Almost surely, 2^{1607150001961} is an apocalyptic number.

It is an amenable number.

1607150001961 is a deficient number, since it is larger than the sum of its proper divisors (232937668439).

1607150001961 is a wasteful number, since it uses less digits than its factorization.

1607150001961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46464.

The product of its (nonzero) digits is 11340, while the sum is 37.

The spelling of 1607150001961 in words is "one trillion, six hundred seven billion, one hundred fifty million, one thousand, nine hundred sixty-one".