1351460641531 has 144 divisors (see below), whose sum is σ = 1978499083680. Its totient is φ = 911699712000.

The previous prime is 1351460641519. The next prime is 1351460641537.

It is a happy number.

1351460641531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1351460641531 - 2¹¹ = 1351460639483 is a prime.

It is a super-2 number, since 2×1351460641531² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1351460641537) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 147906195 + ... + 147915331.

It is an arithmetic number, because the mean of its divisors is an integer number (13739576970).

Almost surely, 2^{1351460641531} is an apocalyptic number.

1351460641531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1351460641531 is a deficient number, since it is larger than the sum of its proper divisors (627038442149).

1351460641531 is a wasteful number, since it uses less digits than its factorization.

1351460641531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9306 (or 9288 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

It can be divided in two parts, 1351460 and 641531, that added together give a palindrome (1992991).

The spelling of 1351460641531 in words is "one trillion, three hundred fifty-one billion, four hundred sixty million, six hundred forty-one thousand, five hundred thirty-one".