153513530314044 has 384 divisors, whose sum is σ = 400555432488960. Its totient is φ = 45541033574400.

The previous prime is 153513530314037. The next prime is 153513530314087. The reversal of 153513530314044 is 440413035315351.

It is a super-2 number, since 2×153513530314044² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153513530313987 and 153513530314005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 163835143944 + ... + 163835144880.

It is an arithmetic number, because the mean of its divisors is an integer number (1043113105440).

Almost surely, 2^{153513530314044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153513530314044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200277716244480).

153513530314044 is an abundant number, since it is smaller than the sum of its proper divisors (247041902174916).

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

153513530314044 is a wasteful number, since it uses less digits than its factorization.

153513530314044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 153513530314044 its reverse (440413035315351), we get a palindrome (593926565629395).

The spelling of 153513530314044 in words is "one hundred fifty-three trillion, five hundred thirteen billion, five hundred thirty million, three hundred fourteen thousand, forty-four".