10249634735961 has 16 divisors (see below), whose sum is σ = 14051159824128. Its totient is φ = 6641829705600.

The previous prime is 10249634735947. The next prime is 10249634735981. The reversal of 10249634735961 is 16953743694201.

It is not a de Polignac number, because 10249634735961 - 2¹³ = 10249634727769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10249634735895 and 10249634735904.

It is not an unprimeable number, because it can be changed into a prime (10249634735981) 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, 153712726 + ... + 153779391.

It is an arithmetic number, because the mean of its divisors is an integer number (878197489008).

Almost surely, 2^{10249634735961} is an apocalyptic number.

It is an amenable number.

10249634735961 is a deficient number, since it is larger than the sum of its proper divisors (3801525088167).

10249634735961 is a wasteful number, since it uses less digits than its factorization.

10249634735961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307492432.

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 10249634735961 in words is "ten trillion, two hundred forty-nine billion, six hundred thirty-four million, seven hundred thirty-five thousand, nine hundred sixty-one".