1017538230361 has 27 divisors (see below), whose sum is σ = 1058792132349. Its totient is φ = 977871901248.

The previous prime is 1017538230337. The next prime is 1017538230367. The reversal of 1017538230361 is 1630328357101.

It is a happy number.

The square root of 1017538230361 is 1008731.

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

It can be written as a sum of positive squares in 4 ways, for example, as 271629634761 + 745908595600 = 521181^2 + 863660^2 .

It is not a de Polignac number, because 1017538230361 - 2⁹ = 1017538229849 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1017538230367) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5113257340 + ... + 5113257538.

Almost surely, 2^{1017538230361} is an apocalyptic number.

1017538230361 is the 1008731-st square number.

1017538230361 is the 504366-th centered octagonal number.

It is an amenable number.

1017538230361 is a deficient number, since it is larger than the sum of its proper divisors (41253901988).

1017538230361 is an frugal number, since it uses more digits than its factorization.

1017538230361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 1017538230361 in words is "one trillion, seventeen billion, five hundred thirty-eight million, two hundred thirty thousand, three hundred sixty-one".