1610503131136 has 117 divisors (see below), whose sum is σ = 3274943746683. Its totient is φ = 791890944000.

The previous prime is 1610503131131. The next prime is 1610503131173. The reversal of 1610503131136 is 6311313050161.

It is a happy number.

The square root of 1610503131136 is 1269056.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1610503131098 and 1610503131107.

It is not an unprimeable number, because it can be changed into a prime (1610503131131) 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, 6416347011 + ... + 6416347261.

Almost surely, 2^{1610503131136} is an apocalyptic number.

1610503131136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1610503131136 is the 1269056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1610503131136

1610503131136 is an abundant number, since it is smaller than the sum of its proper divisors (1664440615547).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1610503131136 is an frugal number, since it uses more digits than its factorization.

1610503131136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

Adding to 1610503131136 its reverse (6311313050161), we get a palindrome (7921816181297).

The spelling of 1610503131136 in words is "one trillion, six hundred ten billion, five hundred three million, one hundred thirty-one thousand, one hundred thirty-six".