5035311553146 has 192 divisors, whose sum is σ = 12534141864960. Its totient is φ = 1317234355200.

The previous prime is 5035311553093. The next prime is 5035311553147. The reversal of 5035311553146 is 6413551135305.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5035311553098 and 5035311553107.

It is not an unprimeable number, because it can be changed into a prime (5035311553147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143516326 + ... + 143551406.

It is an arithmetic number, because the mean of its divisors is an integer number (65281988880).

Almost surely, 2^{5035311553146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5035311553146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267070932480).

5035311553146 is an abundant number, since it is smaller than the sum of its proper divisors (7498830311814).

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

5035311553146 is a wasteful number, since it uses less digits than its factorization.

5035311553146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35301 (or 35260 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 5035311553146 in words is "five trillion, thirty-five billion, three hundred eleven million, five hundred fifty-three thousand, one hundred forty-six".