616952687201001 has 16 divisors (see below), whose sum is σ = 914089666660800. Its totient is φ = 411263232937344.

The previous prime is 616952687200919. The next prime is 616952687201041. The reversal of 616952687201001 is 100102786259616.

It is a happy number.

616952687201001 is a `hidden beast` number, since 6 + 1 + 6 + 9 + 526 + 8 + 7 + 2 + 0 + 100 + 1 = 666.

It is not a de Polignac number, because 616952687201001 - 2³⁴ = 616935507331817 is a prime.

It is a super-3 number, since 3×616952687201001³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (616952687201041) 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, 1070776936 + ... + 1071352953.

It is an arithmetic number, because the mean of its divisors is an integer number (57130604166300).

Almost surely, 2^{616952687201001} is an apocalyptic number.

It is an amenable number.

616952687201001 is a deficient number, since it is larger than the sum of its proper divisors (297136979459799).

616952687201001 is a wasteful number, since it uses less digits than its factorization.

616952687201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142140565 (or 2142140559 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 616952687201001 in words is "six hundred sixteen trillion, nine hundred fifty-two billion, six hundred eighty-seven million, two hundred one thousand, one".