1351582955776 has 27 divisors (see below), whose sum is σ = 2697923420913. Its totient is φ = 675782177280.

The previous prime is 1351582955621. The next prime is 1351582955831. The reversal of 1351582955776 is 6775592851531.

The square root of 1351582955776 is 1162576.

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

It can be written as a sum of positive squares in only one way, i.e., 61813893376 + 1289769062400 = 248624^2 + 1135680^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 18564886 + ... + 18637546.

Almost surely, 2^{1351582955776} is an apocalyptic number.

1351582955776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1351582955776 is the 1162576-th square number.

It is an amenable number.

1351582955776 is a deficient number, since it is larger than the sum of its proper divisors (1346340465137).

1351582955776 is an frugal number, since it uses more digits than its factorization.

1351582955776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145338 (or 72663 counting only the distinct ones).

The product of its digits is 79380000, while the sum is 64.

Multiplying 1351582955776 by its sum of digits (64), we get a square (86501309169664 = 9300608²).

1351582955776 divided by its sum of digits (64) gives a square (21118483684 = 145322²).

The spelling of 1351582955776 in words is "one trillion, three hundred fifty-one billion, five hundred eighty-two million, nine hundred fifty-five thousand, seven hundred seventy-six".