1052638362501 has 96 divisors (see below), whose sum is σ = 1716859152000. Its totient is φ = 567766402560.

The previous prime is 1052638362491. The next prime is 1052638362563.

1052638362501 is nontrivially palindromic in base 10.

1052638362501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1052638362501 - 2⁵ = 1052638362469 is a prime.

It is a super-2 number, since 2×1052638362501² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052638362571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12741475 + ... + 12823823.

It is an arithmetic number, because the mean of its divisors is an integer number (17883949500).

Almost surely, 2^{1052638362501} is an apocalyptic number.

1052638362501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1052638362501 is a deficient number, since it is larger than the sum of its proper divisors (664220789499).

1052638362501 is a wasteful number, since it uses less digits than its factorization.

1052638362501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82467 (or 82448 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 1052638362501 in words is "one trillion, fifty-two billion, six hundred thirty-eight million, three hundred sixty-two thousand, five hundred one".