1653411312 has 240 divisors, whose sum is σ = 5812723200. Its totient is φ = 447431040.

The previous prime is 1653411301. The next prime is 1653411317. The reversal of 1653411312 is 2131143561.

It is a happy number.

1653411312 is a `hidden beast` number, since 1 + 6 + 5 + 341 + 1 + 312 = 666.

It is a super-2 number, since 2×1653411312² = 5467537933299122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1653411317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400137 + ... + 404247.

It is an arithmetic number, because the mean of its divisors is an integer number (24219680).

Almost surely, 2^1653411312 is an apocalyptic number.

1653411312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1653411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906361600).

1653411312 is an abundant number, since it is smaller than the sum of its proper divisors (4159311888).

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

1653411312 is a wasteful number, since it uses less digits than its factorization.

1653411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4142 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1653411312 is about 40662.1606902535. The cubic root of 1653411312 is about 1182.4795395060.

Adding to 1653411312 its reverse (2131143561), we get a palindrome (3784554873).

It can be divided in two parts, 16534113 and 12, that added together give a triangular number (16534125 = T₅₇₅₀).

The spelling of 1653411312 in words is "one billion, six hundred fifty-three million, four hundred eleven thousand, three hundred twelve".