1085536361125 has 24 divisors (see below), whose sum is σ = 1378100968920. Its totient is φ = 853709609600.

The previous prime is 1085536361081. The next prime is 1085536361131. The reversal of 1085536361125 is 5211636355801.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 326043284004 + 759493077121 = 571002^2 + 871489^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1085536361125 is a prime.

It is a super-2 number, since 2×1085536361125² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 812260 + ... + 1682509.

It is an arithmetic number, because the mean of its divisors is an integer number (57420873705).

Almost surely, 2^{1085536361125} is an apocalyptic number.

It is an amenable number.

1085536361125 is a deficient number, since it is larger than the sum of its proper divisors (292564607795).

1085536361125 is an frugal number, since it uses more digits than its factorization.

1085536361125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494902 (or 2494833 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 1085536361125 in words is "one trillion, eighty-five billion, five hundred thirty-six million, three hundred sixty-one thousand, one hundred twenty-five".