10616261601 has 16 divisors (see below), whose sum is σ = 15594729408. Its totient is φ = 6370392000.

The previous prime is 10616261573. The next prime is 10616261611.

10616261601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10616261601 - 2¹⁷ = 10616130529 is a prime.

It is a super-2 number, since 2×10616261601² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10616261611) 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, 1589266 + ... + 1595931.

It is an arithmetic number, because the mean of its divisors is an integer number (974670588).

Almost surely, 2^10616261601 is an apocalyptic number.

10616261601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10616261601 is a deficient number, since it is larger than the sum of its proper divisors (4978467807).

10616261601 is a wasteful number, since it uses less digits than its factorization.

10616261601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185312.

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 10616261601 in words is "ten billion, six hundred sixteen million, two hundred sixty-one thousand, six hundred one".