1015763638201 has 9 divisors (see below), whose sum is σ = 1099923926031. Its totient is φ = 937615879512.

The previous prime is 1015763638177. The next prime is 1015763638217. The reversal of 1015763638201 is 1028363675101.

The square root of 1015763638201 is 1007851.

It is a perfect power (a square), and thus also a powerful number.

1015763638201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 150260893225 + 865502744976 = 387635^2 + 930324^2 .

It is not a de Polignac number, because 1015763638201 - 2¹⁹ = 1015763113913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1015763608201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13063300 + ... + 13140826.

It is an arithmetic number, because the mean of its divisors is an integer number (122213769559).

Almost surely, 2^{1015763638201} is an apocalyptic number.

1015763638201 is the 1007851-st square number.

1015763638201 is the 503926-th centered octagonal number.

It is an amenable number.

1015763638201 is a deficient number, since it is larger than the sum of its proper divisors (84160287830).

1015763638201 is an frugal number, since it uses more digits than its factorization.

1015763638201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155080 (or 77540 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 1015763638201 in words is "one trillion, fifteen billion, seven hundred sixty-three million, six hundred thirty-eight thousand, two hundred one".